122 citations · 234 across the 29 of their papers we have counts for
4 papers · 1 filter
An inexact matching approach for the comparison of plane curves with general elastic metrics
Yashil Sukurdeep, Martin Bauer, Nicolas Charon
This paper introduces a new mathematical formulation and numerical approach for the computation of distances and geodesics between immersed planar curves. Our approach combines the…
The fshape framework for the variability analysis of functional shapes
Benjamin Charlier, Nicolas Charon, Alain Trouvé
This article introduces a full mathematical and numerical framework for treating functional shapes (or fshapes) following the landmarks of shape spaces and shape analysis. Function…
The varifold representation of non-oriented shapes for diffeomorphic registration
Nicolas Charon, Alain Trouvé
In this paper, we address the problem of orientation that naturally arises when representing shapes like curves or surfaces as currents. In the field of computational anatomy, the…
Functional Currents : a new mathematical tool to model and analyse functional shapes
Nicolas Charon, Alain Trouvé
This paper introduces the concept of functional current as a mathematical framework to represent and treat functional shapes, i.e. sub-manifold supported signals. It is motivated b…